I think we're picking this girl up this weekend

Great horse, extremely easy keeper - actually needs to lose a few pounds. Right now she's a backup riding horse so probably gets ridden every few weeks, and stays fat (as you can see) on one flake of alfalfa a day. I plan on riding her 3-4 times a week; I've never had to put a horse on a diet or think about weight loss, and I'm looking for advice on the safest/healthiest way to help her lose some pounds. We have dry lot turnout here and give psyllium for sand colic. Thanks!